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68973300 = 223252116967
BaseRepresentation
bin1000001110001…
…11001011110100
311210210012120200
410013013023310
5120124121200
610502200500
71465156224
oct407071364
9153705520
1068973300
1135a2a730
121b123130
131139c406
149236084
1560c6800
hex41c72f4

68973300 has 108 divisors (see below), whose sum is σ = 235880736. Its totient is φ = 16718400.

The previous prime is 68973293. The next prime is 68973337. The reversal of 68973300 is 337986.

It is a super-2 number, since 2×689733002 = 9514632225780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6417 + ... + 13383.

Almost surely, 268973300 is an apocalyptic number.

68973300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68973300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117940368).

68973300 is an abundant number, since it is smaller than the sum of its proper divisors (166907436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68973300 is a wasteful number, since it uses less digits than its factorization.

68973300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 68973300 is about 8305.0165562749. The cubic root of 68973300 is about 410.1036818887.

The spelling of 68973300 in words is "sixty-eight million, nine hundred seventy-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 6967 9900 13934 20901 27868 34835 41802 62703 69670 76637 83604 104505 125406 139340 153274 174175 209010 229911 250812 306548 313515 348350 383185 418020 459822 522525 627030 689733 696700 766370 919644 1045050 1149555 1254060 1379466 1532740 1567575 1915925 2090100 2299110 2758932 3135150 3448665 3831850 4598220 5747775 6270300 6897330 7663700 11495550 13794660 17243325 22991100 34486650 68973300